Question

Find the no of term by Airthemetic progression of class 1). 2,4,8. ..
2). -2,-4,-6 ...-100
3). 3,6,9 ..72
4). 5,10,15 ..500
5). 6,12,10 ..600 full explanation

Guys pls give ans ​

Answer 1

Answer:

2. 50 terms

3. 24 terms

4. 100 terms

5. 100 terms

Step-by-step explanation:

$a_n = a_1 + (n-1)d\\2. -2, -4, -6, ...., -100\\a_1=-2, d=-2, a_n=-100\\-100=-2+(n-1)(-2)\\-100=-2-2n+2\\2n=100\\n=50 (50 terms)\\\\\\3. 3,6,9,..,72\\a_1=3,d=3,a_n=72\\72=3+(n-1)(3)\\72=3+3n-3\\n=72/3=24 (24 terms)\\\\4.5,10,15,...,500\\a_1=5,d=5,a_n=500\\500=5+(n-1)5\\500=5+5n-5\\500=5n\\n=500/5=100 (100 terms)\\\\5.6,12,10,...,600\\a_1=6,d=6,a_n=600\\600=6+(n-1)(6)\\600=6+6n-6\\6n=600\\n=600/6=100 (100 terms)$